Answer:
Step-by-step explanation
cross-section is 10 inches by 16 inches
area = 10*16 = 160 square inches
The area of the shown cross-section is 160 square inches.
What is the area of the cross-section?
As you can see in the image, the cross-section of a rectangular prism is actually a rectangle.
Here, the dimensions of the rectangular cross-section is:
L = 16 in
H = 10 in
The area will be the product of these two values, so we will get:
A = L*H = (16 in)*(10 in) = 160 in^2
So the area of the shown cross-section is 160 square inches.
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
If your Uncle Jack was on his roof, and he wanted you to help him down, would you help your Uncle Jack off?
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
Dario buys applesauce cups for a family reunion. He needs
23 cups, and he buys them in packs of 6. How many packs does
Dario need?
Answer:
4
Step-by-step explanation:
he will have extra but its better then having nothing , and only extra by 1
Answer: 4 packs
Step-by-step explanation: Dario need to buy 4 packs and get
4 ·6=24 cups
Someone help me please
Answer:
1440°
Step-by-step explanation:
the formula used for this is (n-2)×180° where n=# of sides in the polygon
True or false the absolute value of -7 is greater than the absolute value of -3
ture or false?
Answer:
False
Step-by-step explanation:
Since its a bigger number in the negative, it means it further from zero which makes it false
What is the y-intercept of this line? Acellus, 10 points for answer.
Answer:
y-intercept is ( 0 , 5 )
Step-by-step explanation:
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
The square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14. What are the new dimensions of the pool?
[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]
[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]
The new dimensions of the pool are; Width = 9 and Length = 20.
What is rectangular figure?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.
[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]
The root of the expression;
[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]
The dimensions are;
Width = 3 + s = 9
Length = 14 + s = 20
Learn more about the rectangle here;
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#SPJ2
Evaluate and simplify the expression when r=2 and s=3
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
Christopher works as a translator of
literature. He gets paid different
amounts for translating articles and for
translating book chapters. In January,
he was paid $340 for translating 3 book
chapters and 2 articles. In February,
he was paid $380 for translating 1 book
chapter and 6 articles. How much is
Christopher paid, in dollars, to translate
each article?
Answer:
50$
Each book is equal to 80 now here's the math
50x2=100 340-100=240/3=80
380-80=300/6=50
This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man
giving brainliest ! *easy*
Answer:
19π/15
Step-by-step explanation:
Answer:
θ + 19π / 15 this is my answer
Which expression is equivalent to 1 2 ( 4 x + 8 ) ?
Answer:
48x + 96
Step-by-step explanation:
Given expression: 12(4x + 8)
Using the Distributive Property, we can simplify the given expression.
Distributive Property: [tex]a(b + c) = ab + ac[/tex]
Simplify:
[tex]\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96[/tex]
The expression that is equivalent to 12(4x + 8) is [tex]48x + 96[/tex].
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
What is the constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:
Helps please is for now
Answer: do ur test ur self
Step-by-step explanation:
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
Extreme Temperatures. The hottest temperature ever recorded in the United States was 134?F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the United States was -80?F, which occurred at Prospect Creek Camp, Alaska, in the Endicott Mountains on January 23, 1971. Determine the difference between these two temperatures.
Answer:
214
Step-by-step explanation:
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
https://brainly.com/question/26059078
The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?
An artist is using right triangles in her design. If all the
triangles have an angle measure of 30°, what is the
measure of the third angle?
A) 150
B) 50
C) 60
D) 120
PLEASEEE HELPPP members of a middle school Business Club want to raise money to attend a conference for young entrepreneurs so far the club has raised $450. members suggest a few new ideas. Jenna suggest that the club hold a carwash the Club will need to spend $30 on cleaning supplies before making a profit jenna presents her plan to the club using the table below make a graph of the data to show the relation
*please provide a graph
Part B: is the relation a function if so write an equation for the function
Answer:
Number of cars 16 profit-30
One number is 7more than twice the other number. If the sum of the two numbers is 25, find the two numbers.
Answer:
6 and 19
Step-by-step explanation:
x+2x+7=25
3x=18
x=6
the other number is 19
If the opposite of g(x) is –g(x),
then –g(x) =
Answer:
g(x) not negitive
Step-by-step explanation:
Triangle TUV is dilated by a scale factor of 3/4 to form triangle TUV. Side UV
measures 18. What is the measure of side U'V'?
Need help :C
A bakery in Hong Kong regularly orders carton of cranberries from Australia. The net weight (in ounces) of
cranberries of a random sample of 20 cartons were as follow:
160 170 170 190 210 240 240 240 270 280
290 290 300 420 500 520 530 610 630 650
(c) The bakery orders the cranberries from Australia with currency exchange rate of AUD 1 to HKD 5.8.
For each ounce of Australia cranberries costs AUD 2 and the fixed shipping fee of each carton is HKD
80. Find the mean, standard deviation, range, and third quartile of the payment (in HKD) of ordering a
carton of cranberries from Australia to Hong Kong.
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
i) find the mean value ( X )
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex] note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
iii) Find the range
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
iv) Determine the third quartile
third quartile = 6054
attached below is the detailed solution
AN(B\C)=(ANB)\C
how to prove if True or False?
Answer:
AN*(B\C)=(ANB)\C=>ANB/C=ANB/C
Answer:
It's true but I don't know if my proof is technical enough for you.
Step-by-step explanation:
Multiplication and division of numbers can happen in any order.
5 + 2x = 13
Solve for x
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter of the planet Earth is 1.28×104 kilometers. The diameter of Mars is 6.79×103 kilometers. Which planet has the smallest diameter?
Question 2 options:
Mars
Mercury
Venus
Earth
Answer: Venus
Step-by-step explanation:
Answer:
Mercury, then MarsStep-by-step explanation:
Given diameters of planets:
Mercury ⇒ 4.87 × 10³ km = 4 870 kmVenus ⇒ 1.21 × 10⁴ km = 12 100 kmEarth ⇒ 1.28 × 10⁴ km = 12 800 kmMars ⇒ 6.79 × 10³ km = 6 790 kmCompared, we see the smallest value belongs to Mercury
The second smallest planet is Mars
I need help on this
Answer:
YZ<XZ<XY
Step-by-step explanation:
The smallest side would be opposite the smallest angle. The largest side would be opposite the largest angle.
YZ<XZ<XY